Free Access
Volume 9, June 2005
Page(s) 254 - 276
Published online 15 November 2005
  1. L. Arnold, Stochastic Differential Equations: Theory and Applications. John Wiley and Sons, New York (1974). [Google Scholar]
  2. D.G. Aronson and H.F. Weinberger, Nonlinear dynamics in population genetics, combustion and nerve pulse propagation. Lect. Notes Math. 446 (1975) 5–49. [CrossRef] [Google Scholar]
  3. B. Bergé, I.D. Chueshov and P.A. Vuillermot, On the behavior of solutions to certain parabolic SPDE's driven by Wiener processes. Stoch. Proc. Appl. 92 (2001) 237–263. [CrossRef] [Google Scholar]
  4. H. Brézis, Analyse fonctionnelle, théorie et applications. Masson, Paris (1993). [Google Scholar]
  5. I.D. Chueshov, Monotone Random Systems: Theory and Applications. Lect. Notes Math., Springer, Berlin 1779 (2002). [Google Scholar]
  6. I.D. Chueshov and P.A. Vuillermot, Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Stratonovitch's case. Probab. Theory Relat. Fields 112 (1998) 149–202. [CrossRef] [Google Scholar]
  7. I.D. Chueshov and P.A. Vuillermot, Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Itô's case. Stochastic Anal. Appl. 18 (2000) 581–615. [CrossRef] [MathSciNet] [Google Scholar]
  8. I.I. Gihman and A.V. Skorohod, Stochastic Differential Equations. Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 72. Springer, Berlin (1972). [Google Scholar]
  9. G. Hetzer, W. Shen and S. Zhu, Asymptotic behavior of positive solutions of random and stochastic parabolic equations of fisher and Kolmogorov type. J. Dyn. Diff. Eqs. 14 (2002) 139–188. [CrossRef] [Google Scholar]
  10. R.Z. Hasminskii, Stochastic Stability of Differentiel Equations. Alphen, Sijthoff and Nordhof (1980). [Google Scholar]
  11. N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North-Holland Mathematical Library. North-Holland, Kodansha 24 (1981). [Google Scholar]
  12. A. Kolmogoroff, I. Petrovsky and N. Piscounoff, Étude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique. Bull. de l'Univ. d'État à Moscou, série internationale 1 (1937) 1–25. [Google Scholar]
  13. R. Manthey and K. Mittmann, On a class of stochastic functionnal-differential equations arising in population dynamics. Stoc. Stoc. Rep. 64 (1998) 75–115. [Google Scholar]
  14. J.D. Murray, Mathematical Biology. Second Edition. Springer, Berlin 19 (1993). [Google Scholar]
  15. B. Øksendal, G. Våge and H.Z. Zhao, Asymptotic properties of the solutions to stochastic KPP equations. Proc. Roy. Soc. Edinburgh 130A (2000) 1363–1381. [CrossRef] [Google Scholar]
  16. B. Øksendal, G. Våge and H.Z. Zhao, Two properties of stochastic KPP equations: ergodicity and pathwise property. Nonlinearity 14 (2001) 639–662. [CrossRef] [MathSciNet] [Google Scholar]
  17. M. Sanz-Solé and P.A. Vuillermot, Equivalence and Hölder-Sobolev regularity of solutions for a class of non-autonomous stochastic partial differential equations. Ann. Inst. H. Poincaré Probab. Statist. 39 (2003) 703–742. [CrossRef] [MathSciNet] [Google Scholar]

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